Bhuvaneswari, A.Kraenkel, R. A.Senthilvelan, M.2022-04-282022-04-282011-05-01Physica Scripta, v. 83, n. 5, 2011.0031-89491402-4896http://hdl.handle.net/11449/219648There has been growing interest recently in identifying the time-independent integral in dissipative systems. In this paper, we construct the time-independent integral for the damped harmonic oscillator from the time translational Lie vector field using the recently proposed λ-symmetries method (Muriel and Romero 2009 J. Phys. A: Math. Theor. 42 365207) and establish a group theoretical interpretation of the time-independent integral admitted by the damped harmonic oscillator. © 2011 The Royal Swedish Academy of Sciences.engArtigo10.1088/0031-8949/83/05/0550052-s2.0-79955859151